A culture of bacteria has an initial population of 650 bacteria and doubles every 9 hours. Using the formula Pt=P0⋅2tdP_t = P_0\cdot 2^{\frac{t}{d}} P ​t ​​=P ​0 ​​⋅2 ​ ​d ​ ​t ​​ ​​, where PtP_t P ​t ​​ is the population after t hours, P0P_0 P ​0 ​​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 10 hours, to the nearest whole number?

Respuesta :

Answer:

1182

Step-by-step explanation:

The population of the bacteria in the culture after 10 hours would be 1445.

Given that a culture of bacteria has an initial population of 650 bacteria and doubles every 9 hours, to determine what is the population of bacteria in the culture after 10 hours, to the nearest whole number, the following calculation must be performed:

  • 9 = 2
  • 0.99 = X
  • 0.99 x 2/9 = 0.22  
  • 650 x 0.22222222 = 1444.44

Therefore, the population of the bacteria in the culture after 10 hours would be 1445.

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